**Short Pitch Coil or Chorded Coil:**

Short Pitch Coil – So far it was assumed that the stator coils are full-pitched (a span of Ï€ rad elect). Coils may have a span of less than the full-pitch. This arrangement offers certain advantages. Consider that the coil-span is less than the full-pitch by an elect. angle *Î¸ _{sp}* (short-pitching angle) as shown in Fig. 5.20(a). With reference to Fig. 5.15, Eq. (5.5) for the flux linking the coil now modifies as under:

The flux linking the coil and therefore the coil emf reduces by a multiplicative factor of

The meaning of the pitch factor can be arrived at from another angle. In Fig. 5.20(a) with positive direction of coil-side emfs marked in opposite direction, the coil emf is the phasor sum of coil-side emfs, i.e.

In the case of a full-pitch coil E_{aâ€²} and E_{aâ€² }are in phase (they are Ï€ rad apart but their positive directions are marked oppositely) so that

as shown in Fig. 5.20(b).

In a coil short pitched by *Î¸ _{sp}, E_{aâ€²}* will lead (or lag)

*E*by the angle

_{a}*Î¸*as shown in Fig. 5.20(c). From the geometry of the phasor diagram

_{sp}Hence the reduction of the coil emf due to Short Pitch Coil is governed by the factor

Because of Short Pitch Coil the expression of Eq. (5.15) for the phase voltage modifies to

Thus short-pitching helps in elimination of any particular harmonic or in reduction of the harmonic content of the induced voltage in general. It is easily seen from Fig. 5.20 that Short Pitch Coil have shorter end connections. Thus there is a saving in copper per coil but part of this saving is wiped off by the fact that more series coils/ phase would now be needed to generate a specified phase voltage. A designer has to weigh these factors in arriving at a decision on the angle of short-pitching.